5402904000 has 224 divisors, whose sum is σ = 19213836096. Its totient is φ = 1329868800.

The previous prime is 5402903993. The next prime is 5402904019. The reversal of 5402904000 is 4092045.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303342 + ... + 320658.

It is an arithmetic number, because the mean of its divisors is an integer number (85776054).

Almost surely, 2^5402904000 is an apocalyptic number.

5402904000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5402904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9606918048).

5402904000 is an abundant number, since it is smaller than the sum of its proper divisors (13810932096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5402904000 is a wasteful number, since it uses less digits than its factorization.

5402904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17360 (or 17340 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5402904000 is about 73504.4488449509. The cubic root of 5402904000 is about 1754.7250809208.

Adding to 5402904000 its reverse (4092045), we get a palindrome (5406996045).

It can be divided in two parts, 540 and 2904000, that multiplied together give a square (1568160000 = 39600²).

The spelling of 5402904000 in words is "five billion, four hundred two million, nine hundred four thousand".